I would say yes because most ticket in my state require that you remain problem free during the time period allowed to you to get into compliance. Your parking ticket meant you were not problem free.
See a local NY lawyer because I practice in Chicago.
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No one can know what the record is in the case because online we cannot find out any details. You need a lawyer. Check with a lawyer in your locale to discuss more of the details.
Good luck to you.
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